Composition of Gray Isometries
نویسندگان
چکیده
In coding theory, Gray isometries are usually defined as mappings between finite Frobenius rings, which include the ring Zm of integers modulo m and the finite fields. In this paper, we derive an isometric mapping from Z8 to Z4 2 from the composition of the Gray isometries on Z8 and on Z4 . The image under this composition of a Z8-linear block code of length n with homogeneous distance d is a (not necessarily linear) quaternary block code of length 2n with Lee distance d.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1706.09705 شماره
صفحات -
تاریخ انتشار 2017